Details

sample17.0ms

Algorithm

intervals

Results

8.0ms

478×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	2
1	8	2
2	8	2

prune4.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma x x (* y y))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma x x (* y y))

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(fma x x (* y y))

simplify36.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	26	43
1	76	34
2	218	34
3	767	34
4	5001	34

prune23.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	11	2	13
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	11	3	14

Merged error: 0.0b

Counts

14 → 3

localize4.0ms

Local error

Found 3 expressions with local error:

0.0b	(hypot x y)
0.0b	(hypot x y)
0.0b	(* (hypot x y) (hypot x y))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`hypot-udef`
5×	`add-exp-log` `add-cbrt-cube`
3×	`expm1-log1p-u` `swap-sqr` `associate-r` `associate-l` `log1p-expm1-u` `add-log-exp`
1×	`pow2` `pow-plus` `sqrt-unprod` `pow-prod-down` `prod-exp` `rem-square-sqrt` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `unswap-sqr`

Counts

3 → 49

Calls

3 calls:

1.0ms	(hypot x y)
1.0ms	(hypot x y)
4.0ms	(* (hypot x y) (hypot x y))

series148.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(hypot x y)
45.0ms	(hypot x y)
60.0ms	(* (hypot x y) (hypot x y))

simplify46.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (42.0ms)

Iter	Nodes	Cost
0	84	173
1	290	146
2	1254	137
3	5002	134

prune80.0ms

Filtered

58 candidates to 43 candidates (74.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	57	1	58
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	58	3	61

Merged error: 0.0b

Counts

61 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(hypot x y)
0.0b	(hypot x y)
0.3b	(* (pow (sqrt (hypot x y)) 3) (sqrt (hypot x y)))
0.7b	(pow (sqrt (hypot x y)) 3)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
25×	`sqrt-prod`
18×	`associate-l`
16×	`add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity` `cube-prod`
12×	`unswap-sqr`
10×	`add-exp-log`
7×	`pow1` `add-cbrt-cube`
6×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `sqr-pow`
3×	`pow-unpow` `pow-pow` `prod-exp`
2×	`cube-mult` `pow-to-exp` `hypot-udef` `unpow3` `pow-exp`
1×	`sqrt-pow1` `pow-plus` `pow1/2` `*-commutative` `pow-prod-up` `sqrt-pow2` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 106

Calls

4 calls:

1.0ms	(hypot x y)
1.0ms	(hypot x y)
8.0ms	(* (pow (sqrt (hypot x y)) 3) (sqrt (hypot x y)))
3.0ms	(pow (sqrt (hypot x y)) 3)

series220.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(hypot x y)
42.0ms	(hypot x y)
59.0ms	(* (pow (sqrt (hypot x y)) 3) (sqrt (hypot x y)))
75.0ms	(pow (sqrt (hypot x y)) 3)

simplify49.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	256	577
1	1200	454
2	5001	395

prune165.0ms

Filtered

118 candidates to 70 candidates (59.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	118	3	121

Merged error: 0.0b

Counts

121 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma x x (* y y))
0.2b	(pow (fma x x (* y y)) 3)
35.1b	(cbrt (pow (fma x x (* y y)) 3))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`expm1-log1p-u` `pow-unpow` `log1p-expm1-u` `add-log-exp`
2×	`cube-mult` `unpow3` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `fma-udef` `rem-cube-cbrt`

Counts

3 → 58

Calls

3 calls:

1.0ms	(fma x x (* y y))
2.0ms	(pow (fma x x (* y y)) 3)
2.0ms	(cbrt (pow (fma x x (* y y)) 3))

series137.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(fma x x (* y y))
72.0ms	(pow (fma x x (* y y)) 3)
33.0ms	(cbrt (pow (fma x x (* y y)) 3))

simplify206.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	142	284
1	655	245
2	4765	226
3	5001	226

prune90.0ms

Filtered

67 candidates to 40 candidates (59.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	67	0	67
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	67	3	70

Merged error: 0.0b

Counts

70 → 3

regimes40.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	2

end0.0ms

sample445.0ms

Algorithm

intervals

Results

241.0ms

14063×

body

valid